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• Tensor Neural Network and Its Numerical Integration

  Yifan Wang, Hehu Xie, Pengzhan Jin

  2024-11-13

  14935 1341 Pages:1714-1742

• Chaotic Synchronization of Quaternionic Neural Networks with Time-Varying Delays and Its Application in Cryptosystem

  Li Li, Xudong Chen, Jing Liang, Farong Kou, Hongguang Pan

  2026-02-15

  2594 234 Pages:213-231

• Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  6342 552 Pages:918-975

• A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks

  Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright

  2024-01-16

  25933 2186 Pages:570-596

• Loss Spike in Training Neural Networks

  Xiaolong Li, Zhi-Qin John Xu, Zhongwang Zhang

  2026-04-15

  3291 202 Pages:369-393

• Quantization and Training of Low Bit-Width Convolutional Neural Networks for Object Detection

  Penghang Yin, Shuai Zhang, Yingyong Qi, Jack Xin

  2019-04-29

  65310 3630 Pages:349-359

• An Acceleration Strategy for Randomize-Then-Optimize Sampling via Deep Neural Networks

  Liang Yan, Tao Zhou

  2021-11-19

  42827 3661 Pages:848-864

• ReLU Deep Neural Networks and Linear Finite Elements

  Juncai He, Lin Li, Jinchao Xu, Chunyue Zheng

  2020-03-24

  58562 3612 Pages:502-527

• Convergence of Gradient Method with Momentum for Back-Propagation Neural Networks

  Wei Wu, Naimin Zhang, Zhengxue Li, Long Li, Yan Liu

  2018-08-07

  31531 3304 Pages:613-623

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2731 325 Pages:1-34

• Convergence of Backpropagation with Momentum for Network Architectures with Skip Connections

  Chirag Agarwal, Joe Klobusicky, Dan Schonfeld

  2021-06-10

  42017 4464 Pages:147-158

• A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

  Jongho Park, Jinchao Xu, Xiaofeng Xu

  2025-10-30

  4482 302 Pages:1488-1511

• Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method

  Wenli Yang, Zhongyi Huang, Wei Zhu

  2024-01-16

  27149 2356 Pages:313-336